| 一致光滑Banach空间中渐近伪压缩映象不动点的迭代逼近 |
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| 引用本文： | 曾六川. 一致光滑Banach空间中渐近伪压缩映象不动点的迭代逼近[J]. 数学年刊A辑(中文版), 2005, 0(2) |
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| 作者姓名： | 曾六川 |
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| 作者单位： | 上海师范大学数学系 上海 |
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| 基金项目： | 教育部高等学校优秀青年教师教学和科研奖励基金与上海市曙光计划基金资助的项目． |
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| 摘 要： | 本文研究用于逼近一致光滑Banach空间中渐近伪压缩映象不动点的具误差的修改了的Ishikawa 型与Mann型迭代程序的收敛性,改进和发展了文[1]的相应结果及他人的结果.
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| 关 键 词： | 不动点 迭代逼近 一致光滑Banach空间 |
ITERATIVE APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY PSEUDO-CONTRACTIVE MAPPINGS IN UNIFORMLY SMOOTH BANACH SPACES |
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| ZENG Luchuan. ITERATIVE APPROXIMATION OF FIXED POINTS OF ASYMPTOTICALLY PSEUDO-CONTRACTIVE MAPPINGS IN UNIFORMLY SMOOTH BANACH SPACES[J]. Chinese Annals of Mathematics, 2005, 0(2) |
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| Authors: | ZENG Luchuan |
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| Affiliation: | ZENG Luchuan Department of Mathematics,Shanghai Normal University,Shanghai 200234,China. |
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| Abstract: | The purpose of this paper is to investigate the convergence of the modified Ishikawa-type and Mann-type iteration processes with errors for approximating fixed points of asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces. The results presented in this paper extend, improve, complement and develop Chang's corresponding ones (see [1]) and others' ones. |
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| Keywords: | Asymptotically pseudo-contractive mapping Fixed point Iterative approximation Uniformly smooth Banach space |
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